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13800000001 = 293712861137
BaseRepresentation
bin11001101101000101…
…10100101000000001
31022121202010122011011
430312202310220001
5211230300000001
610201205520521
7665656031104
oct146642645001
938552118134
1013800000001
115941816287
122811713141
1313bc054898
1494cad473b
1555b7c8d51
hex3368b4a01

13800000001 has 8 divisors (see below), whose sum is σ = 14661697320. Its totient is φ = 12964025088.

The previous prime is 13799999989. The next prime is 13800000013. The reversal of 13800000001 is 10000000831.

It is an interprime number because it is at equal distance from previous prime (13799999989) and next prime (13800000013).

It can be written as a sum of positive squares in 4 ways, for example, as 4550177025 + 9249822976 = 67455^2 + 96176^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13800000001 - 29 = 13799999489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13800000031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6429496 + ... + 6431641.

It is an arithmetic number, because the mean of its divisors is an integer number (1832712165).

Almost surely, 213800000001 is an apocalyptic number.

It is an amenable number.

13800000001 is a deficient number, since it is larger than the sum of its proper divisors (861697319).

13800000001 is a wasteful number, since it uses less digits than its factorization.

13800000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12861203.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 13800000001 its reverse (10000000831), we get a palindrome (23800000832).

The spelling of 13800000001 in words is "thirteen billion, eight hundred million, one", and thus it is an aban number.

Divisors: 1 29 37 1073 12861137 372972973 475862069 13800000001